A. A. Benzerga, Rupture ductile des tôles anisotropes, 2000.

A. A. Benzerga and J. Besson, Plastic potentials for anisotropic porous solids, European Journal of Mechanics - A/Solids, vol.20, issue.3, pp.397-434, 2001.
DOI : 10.1016/S0997-7538(01)01147-0

A. A. Benzerga, J. Besson, R. Batisse, and A. Pineau, Synergistic effects of plastic anisotropy and void coalescence on fracture mode in plane strain, Modelling and Simulation in Materials Science and Engineering, vol.10, issue.1, pp.73-102, 2002.
DOI : 10.1088/0965-0393/10/1/306

A. A. Benzerga, J. Besson, and A. Pineau, Anisotropic ductile fracture, Part I: experiments, Acta Materialia, vol.152, pp.4623-4638, 2004.
URL : https://hal.archives-ouvertes.fr/hal-00164227

A. A. Benzerga, J. Besson, and A. Pineau, Anisotropic ductile fracture, Part II: theory, Acta Materialia, vol.152, pp.4639-4650, 2004.
URL : https://hal.archives-ouvertes.fr/hal-00164239

N. Bonora, D. Gentile, A. Pirondi, and G. Newaz, Ductile damage evolution under triaxial state of stress: theory and experiments, International Journal of Plasticity, vol.21, issue.5, pp.981-1007, 2005.
DOI : 10.1016/j.ijplas.2004.06.003

M. Brunet, F. Morestin, and H. Walter, Damage Identification for Anisotropic Sheet-Metals Using a Non-Local Damage Model, International Journal of Damage Mechanics, vol.13, issue.1, pp.35-57, 2004.
DOI : 10.1177/1056789504039259
URL : https://hal.archives-ouvertes.fr/hal-00450600

B. Budiansky and R. J. O-'connell, Elastic moduli of a cracked solid, International Journal of Solids and Structures, vol.12, issue.2, pp.81-97, 1976.
DOI : 10.1016/0020-7683(76)90044-5

W. Y. Chien, J. Pan, and S. C. Tang, Modified Anisotropic Gurson Yield Criterion for Porous Ductile Sheet Metals, Journal of Engineering Materials and Technology, vol.123, issue.4, pp.409-413, 2001.
DOI : 10.1115/1.1395023

P. Croix, F. Lauro, J. Oudin, and J. Christlein, Improvement of damage prediction by anisotropy of microvoids, Journal of Materials Processing Technology, vol.143, issue.144, pp.143-144, 2003.
DOI : 10.1016/S0924-0136(03)00420-5

M. Darrieulat and F. Montheillet, Extension of the Hill (1948) yield criterion to the case of prismatic monoclinic symmetry, International Journal of Mechanical Sciences, vol.38, issue.12, pp.1273-1284, 1996.
DOI : 10.1016/0020-7403(96)00003-3

M. Gãrãjeu, ContributionàContributionà l'´ etude du comportement non linéaire de milieux poreux avec ou sans renfort, 1995.

M. Garajeu, J. C. Michel, and P. Suquet, A micromechanical approach of damage in viscoplastic materials by evolution in size, shape and distribution of voids, Computer Methods in Applied Mechanics and Engineering, vol.183, issue.3-4, pp.223-246, 2000.
DOI : 10.1016/S0045-7825(99)00220-0

M. Gologanu, J. Leblond, and J. Devaux, Approximate models for ductile metals containing non-spherical voids???Case of axisymmetric prolate ellipsoidal cavities, Journal of the Mechanics and Physics of Solids, vol.41, issue.11, pp.1723-1754, 1993.
DOI : 10.1016/0022-5096(93)90029-F

M. Gologanu, J. Leblond, and J. Devaux, Approximate Models for Ductile Metals Containing Nonspherical Voids???Case of Axisymmetric Oblate Ellipsoidal Cavities, Journal of Engineering Materials and Technology, vol.116, issue.3, pp.290-297, 1994.
DOI : 10.1115/1.2904290

M. Gologanu, Etude de quelques problemes de rupture ductile, 1997.

M. Gologanu, J. Leblond, G. Perrin, and J. Devaux, Recent Extensions of Gurson???s Model for Porous Ductile Metals, Continuum Micromechanics, pp.61-130, 1997.
DOI : 10.1007/978-3-7091-2662-2_2

A. L. Gurson, Continuum Theory of Ductile Rupture by Void Nucleation and Growth: Part I???Yield Criteria and Flow Rules for Porous Ductile Media, Journal of Engineering Materials and Technology, vol.99, issue.1, pp.2-15, 1977.
DOI : 10.1115/1.3443401

R. Hill, A theory of yielding and plastic flow of anisotropic solids, Proc. Roy. Soc. London A 193, pp.281-297, 1948.

C. L. Hom and R. M. Mcmeeking, Void Growth in Elastic-Plastic Materials, Journal of Applied Mechanics, vol.56, issue.2, pp.309-317, 1989.
DOI : 10.1115/1.3176085

J. W. Kysar, Y. X. Gan, and G. Mendez-arzuza, Cylindrical void in a rigid-ideally plastic single crystal. Part I: Anisotropic slip line theory solution for face-centered cubic crystals, International Journal of Plasticity, vol.21, issue.8, pp.1481-1520, 2005.
DOI : 10.1016/j.ijplas.2004.07.007

J. W. Kysar, Y. X. Gan, and T. L. Morse, Cylindrical void in a rigid-ideally plastic single crystal II: Experiments and simulations, Int. J. Plasticity, vol.22, issue.1, pp.39-72, 2006.

J. W. Kysar and Y. X. Gan, Cylindrical void in a rigid-ideally plastic single crystal III: Hexagonal close-packed crystal, Int. J. Plasticity, vol.23, issue.4, pp.592-619, 2007.

J. B. Leblond, G. Perrin, and P. Suquet, Exact results and approximate models for porous viscoplastic solids, International Journal of Plasticity, vol.10, issue.3, pp.213-235, 1994.
DOI : 10.1016/0749-6419(94)90001-9

B. I. Lee and M. E. Mear, Axisymmetric deformation of power-law solids containing a dilute concentration of aligned spheroidal voids, Journal of the Mechanics and Physics of Solids, vol.40, issue.8, pp.1805-1837, 1992.
DOI : 10.1016/0022-5096(92)90052-4

K. Liao, J. Pan, and S. Tang, Approximate yield criteria for anisotropic porous ductile sheet metals, Mechanics of Materials, vol.26, issue.4, pp.213-226, 1997.
DOI : 10.1016/S0167-6636(97)00033-1

K. Liao, Yield criteria for porous ductile sheet metals with planar anisotropy under plane stress conditions, Computers & Structures, vol.82, issue.29-30, pp.2573-2583, 2004.
DOI : 10.1016/j.compstruc.2004.02.027

F. A. Mcclintock, A criterion for ductile fracture by the growth of holes. Approximate yield criteria for anisotropic porous ductile sheet metals, ASME J. Appl. Mech, vol.35, issue.363, p.371, 1968.

V. Monchiet, ContributionsàContributionsà la modélisation micromécanique de l'endommagement et de la fatigue des métaux ductiles, 2006.

V. Monchiet, E. Charkaluk, and D. Kondo, An improvement of Gurson-type models of porous materials by using Eshelby-like trial velocity fields, Comptes Rendus M??canique, vol.335, issue.1, pp.32-41, 2007.
DOI : 10.1016/j.crme.2006.12.002
URL : https://hal.archives-ouvertes.fr/hal-00136688

P. Moon and D. E. Spencer, Field Theory Handbook, 1961.

T. Pardoen and J. W. Hutchinson, An extended model for void growth and coalescence, Journal of the Mechanics and Physics of Solids, vol.48, issue.12, pp.2467-2512, 2000.
DOI : 10.1016/S0022-5096(00)00019-3

T. Pardoen and J. W. Hutchinson, Micromechanics-based model for trends in toughness of ductile metals, Acta Materialia, vol.51, issue.1, pp.133-148, 2003.
DOI : 10.1016/S1359-6454(02)00386-5

G. Perrin and J. Leblond, Analytical study of a hollow sphere made of plastic porous material and subjected to hydrostatic tension-application to some problems in ductile fracture of metals, International Journal of Plasticity, vol.6, issue.6, pp.677-699, 1990.
DOI : 10.1016/0749-6419(90)90039-H

G. Perrin, ContributionàContributionà l'´ etude théorique et numérique de la rupture ductile des métaux, 1992.

A. Pirondi, N. Bonora, D. Steglich, W. Brocks, and D. Hellmann, Simulation of failure under cyclic plastic loading by damage models, International Journal of Plasticity, vol.22, issue.11, pp.2146-2170, 2006.
DOI : 10.1016/j.ijplas.2006.03.007

A. R. Ragab and C. A. Saleh, Evaluation of constitutive models for voided solids, International Journal of Plasticity, vol.15, issue.10, pp.1041-1065, 1999.
DOI : 10.1016/S0749-6419(99)00024-8

A. R. Ragab, Application of an extended void growth model with strain hardening and void shape evolution to ductile fracture under axisymmetric tension Engineering Fracture Mechanics 71, pp.1515-1534, 2004.

J. R. Rice and D. M. Tracey, On the ductile enlargement of voids in triaxial stress fields???, Journal of the Mechanics and Physics of Solids, vol.17, issue.3, pp.201-217, 1969.
DOI : 10.1016/0022-5096(69)90033-7

K. Siruguet and J. Leblond, Effect of void locking by inclusions upon the plastic behavior of porous ductile solids???I: theoretical modeling and numerical study of void growth, International Journal of Plasticity, vol.20, issue.2, pp.225-254, 2004.
DOI : 10.1016/S0749-6419(03)00018-4

K. Siruguet and J. Leblond, Effect of void locking by inclusions upon the plastic behavior of porous ductile solids???part II: theoretical modeling and numerical study of void coalescence, International Journal of Plasticity, vol.20, issue.2, pp.255-268, 2004.
DOI : 10.1016/S0749-6419(03)00019-6

H. S. Son and Y. S. Kim, Prediction of forming limits for anisotropic sheets containing prolate ellipsoidal voids, International Journal of Mechanical Sciences, vol.45, issue.10, pp.1625-1643, 2003.
DOI : 10.1016/j.ijmecsci.2003.10.011

P. Suquet, Plasticité et homogénéisation, 1982.

V. Tvergaard and A. Needleman, Analysis of the cup-cone fracture in a round tensile bar, Acta Metallurgica, vol.32, issue.1, pp.157-169, 1984.
DOI : 10.1016/0001-6160(84)90213-X

D. Wang and J. Pan, An Anisotropic Gurson Yield Criterion for Porous Ductile Sheet Metals with Planar Anisotropy, International Journal of Damage Mechanics, vol.13, issue.1, 2004.
DOI : 10.1177/1056789504039010